Communications - Scientific Letters of the University of Zilina 2025, 27(1):B65-B74 | DOI: 10.26552/com.C.2025.014

Optimization of Gear Pairs in the Two Stage Planetary Gearbox Using Ahp and Topsis Method

Jelena Jovanović ORCID...1, Sandra Gajević ORCID...1, Slavica Miladinović ORCID...1, Lozica Ivanović ORCID...1, Jasmina Blagojević ORCID...2, Milan Bukvić ORCID...1, Blaža Stojanović ORCID...1, *
1 University of Kragujevac, Faculty of Engineering, Kragujevac, Serbia
2 Metalac a.d., Metalac Inko d.o.o., Gornji Milanovac, Serbia

The optimization of gear pairs in a two-stage planetary gearbox was performed using the Analytic Hierarchy Process (AHP) and the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS). A total of 18 combinations of input parameters were analyzed, varying: gear width (20, 22, 24 mm), module (2.25, 2.5, 2.75 mm) and material (16MnCr5, 34CrNiMo6). Safety factor from pitting (Sh) and safety factor from tooth fracture (Sf) were numerically obtained and those two parameters were chosen as criteria for optimization. TOPSIS identified alternative 1 (20 mm width, 2.25 mm module, 16MnCr5 material) as the optimal solution, demonstrating the highest safety factor values. Additionally, the optimization achieved satisfactory results regarding the mass of gear pairs. After optimization, the mass of gear pairs decreased by 20% compared to the pre-optimization version.

Keywords: spur gears, planetary gearbox, AHP, TOPSIS, optimization
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The authors received no financial support for the research, authorship and/or publication of this article.

Conflicts of interest:

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Received: August 16, 2024; Accepted: November 27, 2024; Prepublished online: December 17, 2024; Published: January 2, 2025  Show citation

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Jovanović, J., Gajević, S., Miladinović, S., Ivanović, L., Blagojević, J., Bukvić, M., & Stojanović, B. (2025). Optimization of Gear Pairs in the Two Stage Planetary Gearbox Using Ahp and Topsis Method. Communications - Scientific Letters of the University of Zilina, 27(1), B65-74. doi: 10.26552/com.C.2025.014
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